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Finding the Fourth Proportional to 74,384.75, 102,650.96 and 40,850.75

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Solution

The fourth proportional to 74,384.75, 102,650.96 and 40,850.75 is: 56,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,384.75 : 102,650.96 = 40,850.75 : x
  2. Step 2: Convert to fraction form
    74,384.75/102,650.96 = 40,850.75/x
  3. Step 3: Cross multiply
    74,384.75x = 102,650.96 × 40,850.75
  4. Step 4: Simplify right side
    74,384.75x = 4,193,368,704.22
  5. Step 5: Solve for x
    x = 4,193,368,704.22/74,384.75
  6. Step 6: Final answer
    x = 56,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.